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Three body systems with short-range interactions display universal featuresthat have been extensively explored in atomic physics, but apply to hadronphysics as well. Systems composed of two non-interacting identical particles(species H) of mass $M$ and a third particle (species P) of mass $m$ thatinteracts attractively with the other two have the property that they are morelikely to bind for larger values of the mass ratio $M/m$. This is particularlystriking if the HHP system is in P-wave (while the interacting pair is inS-wave), in which case one would not normally expect the formation of a threebody state. If we assume that the $B^* \bar{K}$ binds to form the $B^*_{s1}$heavy meson and notice that the mass ratio of the $B^*$ to $\bar{K}$ is $M /m =10.8$, concrete calculations indicate that there should be a three body $B^*B^* \bar{K}$ bound state between $30-40\,{\rm MeV}$ below the $B^*_{s1} B^*$threshold. For the $\Xi_{bb} \Xi_{bb} \bar{K}$ system the mass imbalance isabout $M /m = 20.5$ and two bound states are expected to appear, a fundamentaland an excited one located at $50-90$ and $5-15\,{\rm MeV}$ below the $\Xi_{bb}\Omega^*_{bb\frac{1}{2}}$ threshold (where $\Omega^*_{bb\frac{1}{2}}$ denotesthe $\Xi_{bb} \bar{K}$ bound state). We indicate the possibility of analogousP-wave three body bound states composed of two heavy baryons and a kaon orantikaon and investigate the conditions under which the Efimov effect couldappear in these systems.

Three-Body $J^P = 0^+,1^+,2^+$ $B^* B^* \bar{K}$ Bound States